en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (2/pi)sin(pit),t

Solution

derivative of

(\frac{2}{π}) sin (π t), t

Solution

2 cos (π t)

Solution steps

\frac{d}{d t} (\frac{2}{π} sin (π t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{2}{π} \frac{d}{d t} (sin (π t))

Apply the chain rule:

cos (π t) \frac{d}{d t} (π t)

= cos (π t) \frac{d}{d t} (π t)

\frac{d}{d t} (π t) = π

= \frac{2}{π} cos (π t) π

Simplify

\frac{2}{π} cos (π t) π : 2 cos (π t)

= 2 cos (π t)

Popular Examples

derivative of (sin^2(x)^2)

\frac{d}{d x} ((sin^{2} (x))^{2})

integral of sin(6x)cos(2x)

\int sin (6 x) cos (2 x) d x

integral of cos^4(7-x)sin(7-x)

\int cos^{4} (7 - x) sin (7 - x) d x

(dy)/(dx)=e^{3y}sin(4x)

\frac{d y}{d x} = e^{3 y} sin (4 x)

sum from n=0 to infinity of 1/(n^2+2n)

n = 0 \sum \infty \frac{1}{n ^{2} + 2 n}

Frequently Asked Questions (FAQ)

What is the derivative of (2/pi)sin(pit),t ?
The derivative of (2/pi)sin(pit),t is 2cos(pit)
What is the first derivative of (2/pi)sin(pit),t ?
The first derivative of (2/pi)sin(pit),t is 2cos(pit)